Solution of Anisotropic Seepage by Finite Elements
Solution of Anisotropic Seepage by Finite Elements
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发表时间：
1966-02
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通讯作者：
O. Zienkiewicz;P. Mayer;Y. Cheung
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作者：
O. Zienkiewicz;P. Mayer;Y. Cheung
提出了一种数值求解非均匀各向异性介质中渗流方程的新方法。对于二维情况，该公式得到了较为详细的发展。在这种情况下，该区域被划分为三角形但大小任意的有限元。在编写的计算机程序中，可以为每个单元任意分配两个渗透系数和地层倾角的不同值。对一个简单的各向异性渗流问题的解进行了测试，其精确值是已知的，并且获得了极好的精度。将该方法应用于岩层倾角随渗透率变化的复杂假设问题的求解。该方法对各向异性截面扭转等相关问题具有普遍的适用性。
A new method of numerical solution of equations governing seepage flow, in non-homogeneous and anisotropic media is presented. The formulation is developed in some detail for two dimensional situations. In this, the region is divided into finite elements of triangular shape but of an arbitrary size. To each element different values of the two permeability coefficients and inclination of strata can be assigned at will in the computer program written. The solution is tested against a simple case of anisotropi seepage for which exact values are known and the accuracy obtained is excellent. The method is applied to obtain a solution to a hypothetical problem of some complexity in which the strata inclination varies from point to point together with the various values permeabilities. The method has obviously a general applicability to related problems such as torsion of anisotropic sections, etc. The basic flow theory in anisotropic materials is reviewed.